The Josephson current in Luttinger liquid-superconductor junctions
Strongly Correlated Electrons
2011-07-19 v1 Superconductivity
High Energy Physics - Theory
Abstract
We study the Josephson current through a Luttinger liquid in contact with two superconductors. We show that it can be deduced from the Casimir energy in a two-boundary version of the sine-Gordon model. We develop a new thermodynamic Bethe Ansatz, which, combined with a subtle analytic continuation procedure, allows us to calculate this energy in closed form, and obtain the complete current-crossover function from the case of complete normal to complete Andreev reflection.
Keywords
Cite
@article{arxiv.cond-mat/0109103,
title = {The Josephson current in Luttinger liquid-superconductor junctions},
author = {J. -S. Caux and H. Saleur and F. Siano},
journal= {arXiv preprint arXiv:cond-mat/0109103},
year = {2011}
}
Comments
4 pages, 3 figures